Free Practice Question
PS · Problem Solving
505-555
Algebra
According to a certain estimate, the depth M(t), in centimeters, of the water in a different tank at t hours past 3:00 in the morning is given by for . According to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum?
Answer Choices
Correct answer marked belowA
6:00
7:00
Correct
C
7:30
D
8:00
E
8:30
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
To find the time when the depth of the water reaches its maximum, we need to analyze the function . This is a quadratic function in the form , where , , and . The vertex of this parabola, which…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
6
Sign in to join the discussion
S
ShobhitJan 29, 2025
Great question!
M
MirayaFeb 1, 2025
thank you for sharing
M
MatthewJan 22, 2025
Amazing
M
ManuFeb 25, 2025
Great explanation
O
OliverJul 24, 2024
Greatt
A
AdyantFeb 3, 2024
pls explain more?
What this question tests
What it tests
Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.
Common trap
Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.
Details
Difficulty
505-555
Type
PS
Category